| Base | Representation |
|---|---|
| bin | 101110100111111111… |
| … | …1100001101011011010 |
| 3 | 100120102222022002111110 |
| 4 | 1131033333201223122 |
| 5 | 3120024313112030 |
| 6 | 113555234041150 |
| 7 | 10143136341450 |
| oct | 1351777415332 |
| 9 | 316388262443 |
| 10 | 100126300890 |
| 11 | 39510760900 |
| 12 | 174a41191b6 |
| 13 | 9598a315b5 |
| 14 | 4bbbb3a9d0 |
| 15 | 29103871b0 |
| hex | 174ffe1ada |
100126300890 has 768 divisors, whose sum is σ = 338889277440. Its totient is φ = 18441561600.
The previous prime is 100126300889. The next prime is 100126300891. The reversal of 100126300890 is 98003621001.
100126300890 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (100126300889) and next prime (100126300891).
It is a super-2 number, since 2×1001263008902 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is not an unprimeable number, because it can be changed into a prime (100126300891) by changing a digit.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 788396007 + ... + 788396133.
It is an arithmetic number, because the mean of its divisors is an integer number (441262080).
Almost surely, 2100126300890 is an apocalyptic number.
100126300890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 100126300890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169444638720).
100126300890 is an abundant number, since it is smaller than the sum of its proper divisors (238762976550).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100126300890 is a wasteful number, since it uses less digits than its factorization.
100126300890 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 279 (or 268 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 30.
Adding to 100126300890 its reverse (98003621001), we get a palindrome (198129921891).
The spelling of 100126300890 in words is "one hundred billion, one hundred twenty-six million, three hundred thousand, eight hundred ninety".
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